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Finding the Fourth Proportional to 165,657,204,920.95, 248,485,807,381.42 and 165,657,204,920.95

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Solution

The fourth proportional to 165,657,204,920.95, 248,485,807,381.42 and 165,657,204,920.95 is: 248,485,807,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,657,204,920.95 : 248,485,807,381.42 = 165,657,204,920.95 : x
  2. Step 2: Convert to fraction form
    165,657,204,920.95/248,485,807,381.42 = 165,657,204,920.95/x
  3. Step 3: Cross multiply
    165,657,204,920.95x = 248,485,807,381.42 × 165,657,204,920.95
  4. Step 4: Simplify right side
    165,657,204,920.95x = 41,163,464,313,331,611,860,992
  5. Step 5: Solve for x
    x = 41,163,464,313,331,611,860,992/165,657,204,920.95
  6. Step 6: Final answer
    x = 248,485,807,381.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.